4161663000 has 384 divisors, whose sum is σ = 15512739840. Its totient is φ = 997920000.

The previous prime is 4161662993. The next prime is 4161663001. The reversal of 4161663000 is 3661614.

4161663000 is a `hidden beast` number, since 4 + 16 + 16 + 630 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161663001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12572835 + ... + 12573165.

It is an arithmetic number, because the mean of its divisors is an integer number (40397760).

Almost surely, 2^4161663000 is an apocalyptic number.

4161663000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756369920).

4161663000 is an abundant number, since it is smaller than the sum of its proper divisors (11351076840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4161663000 is a wasteful number, since it uses less digits than its factorization.

4161663000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4161663000 is about 64510.9525584610. The cubic root of 4161663000 is about 1608.5045847222.

The spelling of 4161663000 in words is "four billion, one hundred sixty-one million, six hundred sixty-three thousand".